Best Answer

You can do an upper and lower bound by inscribing and circumscribing polygons. The more sides the polygon has, the more precise your answer will be. You inscribe a polygon by having the corners touch the circle's interior, and you circumscribe a polygon by having the midpoint of the sides touch the circle's exterior. Note that the polygon must by equilateral and equiangular for this method to be reasonably simple. Then simply find the area of the inscribed polygon - you know the circle is bigger than it, because the circle contains the polygon and has more space as well. Thus that number is your lower bound. Then find the area of the circumscribed polygon- same logic for the polygon being bigger than the circle. Area of circumscribed is your upper bound. Then typically average your upper and lower bound to get a reasonable estimate of the area of the circle. Of course, solving the problem algebraically is both simpler and more precise, but since you wanted a geometric answer, you got one.

Q: How can you find the area of a circle geometrically?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

Area of a circle = pi*radius2

Find the area of the circle and divide by 4.

how do you find the area of a semi circle

Find the area of the whole circle and divide by two. Area of semicircle = 0.5*pi*r2, where pi = 3.14159 and r is the radius

A semicircle is 1/2 of a circle. Find the area with the diameter you are given as if you had a whole circle, then divide that answer by 2 to get the area of the semicircle.

Related questions

all you do is find the area of the circle... if you mean find the squares area, find the area of the circle, and then the square's area and subtract the squares area to the circles area

A circle.

You find the area of the whole square first. Then you find the area of the circle inside of it And then subtract the area of the circle from the area of the square and then you get the shaded area of the square

To find the area of the circle pi*radius*squared and subtract the area of the figure inside

Area of a circle = pi*radius2

Find the area of the circle and divide by 4.

First find the area of the larger circle and then subtract the area of the smaller circle. Area=(pi x radiuslarger)-( pi x radiussmaller)

area of a circle = pi*r2

Area of a circle = pi*radius2

how do you find the area of a semi circle

Area of a circle = pi*radius2

You add the area of the square with the area of the semi circle.